Asymptotic Properties Of Ordinal Statistics

Authors

  • Sayfulloyeva Gulnoz Sayfulloyevna Navoi State University, Faculty of Mathematics and Informatics, Department of Mathematics, Doctor of Philosophy (PhD) in Physics and Mathematics
  • Xayriyeva Dilora Zaripovna
  • Fayzullayeva Sevara Akbar qizi Master's student of Navoi State University
  • Zayniddinova Dinara Xusnitdin qizi Master's student of Navoi State University

Keywords:

ordinal statistics, extreme value, asymptotic properties

Abstract

The asymptotic theory of ordinal statistics deals with the distribution of appropriately normalized (and centered) quantities Crn: at n →¥. At the first stage, it is usually assumed that Crn: is the rth ordinal statistic in a random sample of volume n from a distribution with a distribution function R( x) . However, as we will see later, many types of dependence between , ,..., C C C 1 2, n . Cp do not violate the type of marginal distributions.

Downloads

Published

2025-05-05

Issue

Vol. 43 (2025): EJPCM

Section

Articles

License

Copyright (c) 2025 Sayfulloyeva Gulnoz Sayfulloyevna, Xayriyeva Dilora Zaripovna, Fayzullayeva Sevara Akbar qizi, Zayniddinova Dinara Xusnitdin qizi

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Asymptotic Properties Of Ordinal Statistics. (2025). Eurasian Journal of Physics,Chemistry and Mathematics, 43, 15-19. https://geniusjournals.org/index.php/ejpcm/article/view/6862